Chebyshev Polynomials
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The Chebyshev polynomial of degree is
denoted .
It is defined as:
Chebyshev polynomials satisfy the following relationships
and recursion formulae:
Recursion formulae:
Zeros, exactly distinct zeros in the
interval ,
as follows:
Extrema, exactly real extrema in the
interval ,
as follows:
Orthogonality: